I have some questions about mut’ah though.

1. Is mutah with with a virgin makruh?
2. What rights of nikah fall out in a mut’ah marriage (is he for example financially responsible for her other than the mahr?)

1- Yes we have hadith that states it’s Makrouh
2- He does not have to spend on her, he doesn’t have to spend a night with her, and they don’t inherit each other in case of death.